Compound statements and Truth table
Truth Tables - A table is indicating the truth values of one or more statements is called a truth table..
Truth Tables
A table is indicating the truth values of one or more statements is called a truth table..
Proposition or statement and Truth Value of a statement
A declarative sentence which is true or false but not both is called a proposition. Truth value is the truthfulness of statement. If a statement is true its truth value is T, if a statement is false then its truth value is ..
Proposition or statement and Truth Value of a statement
A declarative sentence which is true or false but not both is called a propositi..
Table 2 - Truth table for p and q
The 'AND' operation can be defined on the set of bits {0, 1} as follows 1 . 1 = 1, 1 . 0 = 0, 0.1 = 0, 0.0 =..
The 'AND' operation can be defined on the set of bits {0, 1} as follows 1 . 1 = 1, 1 . 0 = 0, 0.1 = 0, 0.0 =..Logical Equivalence
Two propositions (simple or compound) are said to be logically equivalent if they have identical truth values. If p is logically equivalent to q, we denote p q. We have already constructed the truth table of (~p) q in earlier class. Recall the sa..
Two propositions (simple or compound) are said to be logically equivalent if they have identical truth values. If p is logically equivalent to q, we denote p q. We have already constructed the truth table of (~p) q in earlier class. Recall the sa..Statement
Some sentences depend on a variable for its truth value (i.e., true or false). e.g., "2+4+6+2n=2n" is true for n=1 but false for n=2, n=3 etc. As the above sentence is definitely true or definitely false for a particular positive integral value of n, the sentence is a ..
The Conditional Statements
If p and q are two propositions, then the compound proposition, "if p then q" is known as conditional statement or implication. It is denoted by p q. p is called the antecedent (or hypothesis). q is called the consequent (or conclusion). Note: p q can be read as (i) If p then q (ii) ..
If p and q are two propositions, then the compound proposition, "if p then q" is known as conditional statement or implication. It is denoted by p q. p is called the antecedent (or hypothesis). q is called the consequent (or conclusion). Note: p q can be read as (i) If p then q (ii) ..Which statement is equivalent to 7 × 52?
Which statement is equivalent to 7 × 52? => (7 × 5) + (7 × 2) or 5 × 72 or (7 × 50) + (7 × 2) or (7 × 49) - (7 × 3)..
Conditional and Biconditional Statements
It is already mentioned in earlier classes that compound statements of different propositions can be obtained by conjunction, disjunction and negation of propositions. We just recall these three basic logical connectivities and their truth table and subsequently we sha..
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